TMBR: August 2026: Difference between revisions

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m →Holdouts: Update BB(2,7) enumeration
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m →Holdouts: Removed a few colons in the "Holdouts" section for consistency with previous months.
 
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== BB Adjacent ==
== BB Adjacent ==
TODO: [[TT]]
 
* [[TT|TT (Terminating Turmites)]]
** On August 3, Discord user creeperman7002 discovered a new step and score champion for TT(3,3), <code>1PB2PA0PC_2TB1PC2PB_2PB1PZ0PA</code>, running for 715,764,479 steps.
** On August 8, Discord user creeperman7002 discovered a new step champion for TT(3,3), <code>1PB0TC1PA_2PC1PZ2PA_2TC0PA2PC</code>, running for <math>2.27\cdot10^{248}</math> steps.
 
TODO: [[Pebble Automaton]]
 
TODO: [[Wang Tiles]]
 
TODO: [[SKI Calculus]]
 
TODO: [[Cyclic Tag]]


== Holdouts ==
== Holdouts ==
* [[BB(6)]]:
* [[BB(6)]]
** prurq found three machines to halt.<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1533572940459675791][https://discord.com/channels/960643023006490684/1239205785913790465/1533837709452251227][https://discord.com/channels/960643023006490684/1239205785913790465/1533889409332674763]</sup>
** On August 3, prurq found three machines to halt.<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1533572940459675791][https://discord.com/channels/960643023006490684/1239205785913790465/1533837709452251227][https://discord.com/channels/960643023006490684/1239205785913790465/1533889409332674763]</sup>
** q64 [https://discord.com/channels/960643023006490684/1239205785913790465/1534370964350042263 simulated another TM] to halt.
** On August 5, q64 [https://discord.com/channels/960643023006490684/1239205785913790465/1534370964350042263 simulated another TM] to halt.
*[[BB(2,7)]]:
** On August 15, Discord user jacobrschwartz [https://discord.com/channels/960643023006490684/960643023530762341/1538044554286993418 proved another TM] halting.
**Terry Ligocki enumerated 40K more subtasks, increasing the number of holdouts to '''2,311,169,711'''. A total of 740K subtasks out of the 1 million subtasks (or '''74%''') have been enumerated.
** Later that day, mxdys [https://discord.com/channels/960643023006490684/1239205785913790465/1538109685033607198 released] a new holdouts list of '''1,016''' machines up to equivalence, this is a '''4.51%''' reduction compared to the previous holdouts lists.
** On August 24, Discord user flintt_6 informally [https://discord.com/channels/960643023006490684/1239205785913790465/1541418968806334515 proved another TM] halting.
** On August 26, q64 [https://discord.com/channels/960643023006490684/1239205785913790465/1542210565404098652 proved another TM] halting.
** On August 30, mxdys [https://discordapp.com/channels/960643023006490684/1239205785913790465/1543436534831906926 released] another holdouts list of '''1,003''' machines up to equivalence.
** On August 31, mxdys [https://discord.com/channels/960643023006490684/1239205785913790465/1543878992195620884 released] another holdouts list of '''999''' machines up to equivalence.
*[[BB(2,7)]]
**Terry Ligocki enumerated 150K more subtasks, increasing the number of holdouts to '''2,651,060,579'''. A total of 850K subtasks out of the 1 million subtasks (or '''85%''') have been enumerated.


[[Category:This Month in Beaver Research|2026-08]]
[[Category:This Month in Beaver Research|2026-08]]

Latest revision as of 00:48, 6 September 2026

Prev: July 2026 This Month in Beaver Research Next: September 2026

This edition of TMBR is in progress and has not yet been released. Please add any notes you think may be relevant (including in the form a of a TODO with a link to any relevant Discord discussion).

BB Adjacent

  • TT (Terminating Turmites)
    • On August 3, Discord user creeperman7002 discovered a new step and score champion for TT(3,3), 1PB2PA0PC_2TB1PC2PB_2PB1PZ0PA, running for 715,764,479 steps.
    • On August 8, Discord user creeperman7002 discovered a new step champion for TT(3,3), 1PB0TC1PA_2PC1PZ2PA_2TC0PA2PC, running for 2.27⋅10248 steps.

TODO: Pebble Automaton

TODO: Wang Tiles

TODO: SKI Calculus

TODO: Cyclic Tag

Holdouts

  • BB(6)
    • On August 3, prurq found three machines to halt.[1][2][3]
    • On August 5, q64 simulated another TM to halt.
    • On August 15, Discord user jacobrschwartz proved another TM halting.
    • Later that day, mxdys released a new holdouts list of 1,016 machines up to equivalence, this is a 4.51% reduction compared to the previous holdouts lists.
    • On August 24, Discord user flintt_6 informally proved another TM halting.
    • On August 26, q64 proved another TM halting.
    • On August 30, mxdys released another holdouts list of 1,003 machines up to equivalence.
    • On August 31, mxdys released another holdouts list of 999 machines up to equivalence.
  • BB(2,7)
    • Terry Ligocki enumerated 150K more subtasks, increasing the number of holdouts to 2,651,060,579. A total of 850K subtasks out of the 1 million subtasks (or 85%) have been enumerated.